Answer:
x = 8
Step-by-step explanation:
Her mistake was subtracting 2 on both sides. Instead she should've added 2 on both sides.Getting a result of 2x=16. Then you divide 2 on both sides to get x = 8.
Answer:
(-2,-4)
Step-by-step explanation:
The given system is
Add both equations to eliminate y
Simplify both sides to get:
Divide both sides by 2
Put x=-2 into one of the equations say, x+y=-6 and solve for y
The solution is (-2,-4)
Answer: 10, 11, 12
Step-by-step explanation: Think of the integers like this:
1st integer: x
2nd integer: x+1
3rd integer: x+2
That is necessary because they are consecutive integers. Since the sum is 33, we need to create an equation.
x+x+1+x+2=33.
Simplify:
3x+3=33.
Opposite operations:
3x=-3+33.
To get the 3 close to the 33, we needed to make it negative, which is the opposite operation of the positive 3.
So,
3x=30.
Divide by 3:
x=10.
The first integer, x, equals 10.
To go with the guide that we already created,
1st integer: x=10
2nd integer: x+1=11
3rd integer:x+2=12.
Therefore, the three consecutive integers are 10, 11, and 12.
To check that, add them up. They all equal 33 and they are consecutive, which means this is the right answer!
Answer:
N= -4
Step-by-step explanation:
Since mid-point of -13 and 3 is -4.